This article explains how to solve roots of a quartic polynomial in the complex plane. I use the depressed form of the quartic polynomial and Descartes’ method. Additionally, I demonstrate an interactive demo which visualizes the roots of a quartic polynomial.
This article explains how to solve roots of a cubic polynomial in the complex plane. I use the depressed form of the cubic polynomial and Cardano’s formula. Additionally, I demonstrate an interactive demo which visualizes the roots of a cubic polynomial.
This post delves into the specifics of various camera models, exploring the mathematical and geometric concepts used to represent how a camera captures the world. However, when capturing world scenes through a camera, images suffer from distortions due to the physical properties of the lens. T...
Preparing an equatorial mount for astrophotography requires a precise, multistep calibration process. The primary goal is to accurately align the mount’s rotational axis with the Earth’s axis of rotation. This guide outlines a four-step calibration process using Skywatcher’s Sky Adventurer. Fo...
Camera calibration is a fundamental step in many computer vision applications, from 3D reconstruction to augmented reality. It involves estimating the intrinsic parameters of a camera (like focal length, principal point, and lens distortion) and its extrinsic parameters (rotation and translati...